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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 830 · 40 sums
TalentJR

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  2. 2.Solve: 4x + 3 = 2x + 31. What is x?
  3. 3.Solve: p/4 + p/2 = 21. What is p?
  4. 4.The sum of two consecutive whole numbers is 113. What is the smallest of them?
  5. 5.Solve: 4(n − 2) = 2n + 16. What is n?
  6. 6.Solve: 4p + 2 = 2p + 26. What is p?
  7. 7.Solve: p/3 + p/2 = 35. What is p?
  8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  9. 9.The sum of two consecutive whole numbers is 117. What is the largest of them?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  11. 11.Solve: 3(t − 4) = 2t + 3. What is t?
  12. 12.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  13. 13.A father is 30 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  14. 14.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  15. 15.The sum of two consecutive whole numbers is 105. What is the largest of them?
  16. 16.Solve: 7m + 18 = 5m + 46. What is m?
  17. 17.Solve: p/2 + p/5 = 14. What is p?
  18. 18.Solve: 7m + 17 = 2m + 32. What is m?
  19. 19.Solve: 6n + 11 = 2n + 71. What is n?
  20. 20.Solve: 3(p − 3) = p + 23. What is p?
  21. 21.Solve: x/6 + x/4 = 10. What is x?
  22. 22.Solve: 3n + 14 = n + 44. What is n?
  23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  24. 24.Solve: 4(m − 4) = m + 14. What is m?
  25. 25.The sum of four consecutive whole numbers is 34. What is the smallest of them?
  26. 26.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: 6p + 6 = 5p + 7. What is p?
  28. 28.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: 4(m − 1) = m + 8. What is m?
  30. 30.The sum of three consecutive whole numbers is 177. What is the largest of them?
  31. 31.Solve: y/5 + y/2 = 21. What is y?
  32. 32.Solve: 5(x − 3) = 2x + 36. What is x?
  33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  34. 34.Solve: 3(n − 4) = 2n + 1. What is n?
  35. 35.Solve: 8p + 5 = 7p + 17. What is p?
  36. 36.Solve: m/2 + m/5 = 21. What is m?
  37. 37.Solve: x/3 + x/6 = 3. What is x?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  39. 39.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  40. 40.Solve: 8t + 7 = 2t + 43. What is t?

Answer key

  1. 15
  2. 14
  3. 28
  4. 56
  5. 12
  6. 12
  7. 42
  8. 19
  9. 59
  10. 2
  11. 15
  12. 47
  13. 9
  14. 42
  15. 53
  16. 14
  17. 20
  18. 3
  19. 15
  20. 16
  21. 24
  22. 15
  23. 2
  24. 10
  25. 7
  26. 11
  27. 1
  28. 6
  29. 4
  30. 60
  31. 30
  32. 17
  33. 26
  34. 13
  35. 12
  36. 30
  37. 6
  38. 13
  39. 4
  40. 6

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